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Finding the Fourth Proportional to 357,384.40, 535,462.20 and 232,661.20

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Solution

The fourth proportional to 357,384.40, 535,462.20 and 232,661.20 is: 348,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,384.40 : 535,462.20 = 232,661.20 : x
  2. Step 2: Convert to fraction form
    357,384.40/535,462.20 = 232,661.20/x
  3. Step 3: Cross multiply
    357,384.40x = 535,462.20 × 232,661.20
  4. Step 4: Simplify right side
    357,384.40x = 124,581,278,006.64
  5. Step 5: Solve for x
    x = 124,581,278,006.64/357,384.40
  6. Step 6: Final answer
    x = 348,591.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.